73172224 has 36 divisors (see below), whose sum is σ = 148842036. Its totient is φ = 35889152.

The previous prime is 73172221. The next prime is 73172227. The reversal of 73172224 is 42227137.

It is an interprime number because it is at equal distance from previous prime (73172221) and next prime (73172227).

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 10445824 = 7920^2 + 3232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73172192 and 73172201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73172221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10872 + ... + 16264.

It is an arithmetic number, because the mean of its divisors is an integer number (4134501).

Almost surely, 2^73172224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74421018).

73172224 is an abundant number, since it is smaller than the sum of its proper divisors (75669812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73172224 is an equidigital number, since it uses as much as digits as its factorization.

73172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5448 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 73172224 is about 8554.0764551178. The cubic root of 73172224 is about 418.2623293229.

The spelling of 73172224 in words is "seventy-three million, one hundred seventy-two thousand, two hundred twenty-four".